7646709760 has 48 divisors (see below), whose sum is σ = 18347647500. Its totient is φ = 3058679808.

The previous prime is 7646709731. The next prime is 7646709761. The reversal of 7646709760 is 679076467.

It can be written as a sum of positive squares in 2 ways, for example, as 7570392064 + 76317696 = 87008^2 + 8736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7646709698 and 7646709707.

It is not an unprimeable number, because it can be changed into a prime (7646709761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363135 + ... + 383614.

Almost surely, 2^7646709760 is an apocalyptic number.

It is an amenable number.

7646709760 is an abundant number, since it is smaller than the sum of its proper divisors (10700937740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7646709760 is an equidigital number, since it uses as much as digits as its factorization.

7646709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746776 (or 746756 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The square root of 7646709760 is about 87445.4673496574. The cubic root of 7646709760 is about 1970.1148086010.

The spelling of 7646709760 in words is "seven billion, six hundred forty-six million, seven hundred nine thousand, seven hundred sixty".